Finding the Fourth Proportional to 9,389.92, 12,957.46 and 5,614.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,389.92 : 12,957.46 = 5,614.78 : x
2. Step 2: Convert to fraction form
   9,389.92/12,957.46 = 5,614.78/x
3. Step 3: Cross multiply
   9,389.92x = 12,957.46 × 5,614.78
4. Step 4: Simplify right side
   9,389.92x = 72,753,310.98
5. Step 5: Solve for x
   x = 72,753,310.98/9,389.92
6. Step 6: Final answer
   x = 7,748.02